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Finding the Fourth Proportional to 12,688.44, 17,508.42 and 7,384.02

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Solution

The fourth proportional to 12,688.44, 17,508.42 and 7,384.02 is: 10,189.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.44 : 17,508.42 = 7,384.02 : x
  2. Step 2: Convert to fraction form
    12,688.44/17,508.42 = 7,384.02/x
  3. Step 3: Cross multiply
    12,688.44x = 17,508.42 × 7,384.02
  4. Step 4: Simplify right side
    12,688.44x = 129,282,523.45
  5. Step 5: Solve for x
    x = 129,282,523.45/12,688.44
  6. Step 6: Final answer
    x = 10,189.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.